2019/12/24 by Serhii Favorov, Favorov, Serhii
Computer Science · Mathematics · #42B05 #42B10 #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1912.11298
openalex publication_date 2019/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let h be a real-analytic function in the neighborhood of some compact set K on the plane. We show that for any complex measure on the Euclidean space of a finite total variation without singular components with the Fourier--Stieltjes transform f(y) there exists another measure of a finite total variation with the Fourier transform g(y) with the property g(y)=h(f(y)) for each y such that f(y) belongs to K.